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Finding the Third Proportional to 202,356 and 437,130

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Solution

The third proportional to 202,356 and 437,130 is: 944,289.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,356 : 437,130 = 437,130 : x
  2. Step 2: Convert to fraction form
    202,356/437,130 = 437,130/x
  3. Step 3: Cross multiply
    202,356x = 437,130 × 437,130
  4. Step 4: Simplify right side
    202,356x = 191,082,636,900
  5. Step 5: Solve for x
    x = 191,082,636,900/202,356
  6. Step 6: Final answer
    x = 944,289.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.